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First, we open the parentheses and change the sign accordingly.
Since there are only positive numbers inside the parentheses, multiplying by negative will give us negative numbers:
Now we group the b factors:
Now we obtain:
\( 100-(30-21)= \)
Great observation! When we distribute the negative sign, we get . The terms +b and -b are opposites that cancel each other out: b - b = 0.
You'd multiply that number by every term inside the parentheses! For example, . The distributive property always applies to all terms.
Like terms have the same variable parts. In this problem, we have two b terms: +b and -b. The terms a and c don't have matching partners, so they stay as is.
You should follow the order of operations! Handle what's in parentheses first, then distribute, then combine like terms from left to right. This prevents mistakes.
Write out each step carefully! Change to which equals . Taking your time prevents sign errors.
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